{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "2cf3a375",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-03-21T14:28:33.928108Z",
     "start_time": "2024-03-21T14:28:32.703348Z"
    }
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import torch"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a2c3f38b",
   "metadata": {},
   "source": [
    "$$\n",
    "x\\cdot\\sigma(\\beta x)\n",
    "$$\n",
    "\n",
    "- 跟 relu 一样，上无界，下有解；\n",
    "- 跟 relu 不同，它是光滑的，且非单调的；"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "c247dcd1",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-03-21T14:29:26.260379Z",
     "start_time": "2024-03-21T14:29:26.252832Z"
    }
   },
   "outputs": [],
   "source": [
    "def swish(x, beta=1.):\n",
    "    return x * torch.sigmoid(beta*x)    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "7f25cc72",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-03-21T14:31:40.080476Z",
     "start_time": "2024-03-21T14:31:39.829221Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x700e86a558a0>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = torch.arange(-5, 5, .01)\n",
    "plt.plot(x.numpy(), swish(x, beta=0.1).numpy(), label=r'$\\beta=0.1$')\n",
    "plt.plot(x.numpy(), swish(x).numpy(), label=r'$\\beta=1$')\n",
    "plt.plot(x.numpy(), swish(x, beta=10).numpy(), label=r'$\\beta=10$')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "1fc664a4",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-03-21T14:37:59.109673Z",
     "start_time": "2024-03-21T14:37:58.860383Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x700e86893c40>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = torch.arange(-5, 5, .01)\n",
    "x.requires_grad = True\n",
    "torch.sum(swish(x, beta=0.1)).backward()\n",
    "plt.plot(x.detach().numpy(), x.grad.numpy(), label=r'$\\beta=0.1$')\n",
    "\n",
    "x = torch.arange(-5, 5, .01)\n",
    "x.requires_grad = True\n",
    "torch.sum(swish(x)).backward()\n",
    "plt.plot(x.detach().numpy(), x.grad.numpy(), label=r'$\\beta=1$')\n",
    "\n",
    "x = torch.arange(-5, 5, .01)\n",
    "x.requires_grad = True\n",
    "torch.sum(swish(x, beta=10)).backward()\n",
    "plt.plot(x.detach().numpy(), x.grad.numpy(), label=r'$\\beta=10$')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6d11d0c6",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "5ef1346c",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.13"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
